find the prime factorization of 120.
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2,3 & 5
To find the prime factorization of 120, you need to express it as a product of its prime factors. Here's how you can do it:
Step 1: Start by dividing the number by the smallest prime number, which is 2, until it is no longer divisible by 2.
120 ÷ 2 = 60 (divisible by 2)
Step 2: Repeat step 1 with the quotient obtained (60).
60 ÷ 2 = 30 (divisible by 2)
Step 3: Continue repeating step 1 until you can no longer divide by 2.
30 ÷ 2 = 15 (not divisible by 2)
Step 4: Move on to the next prime number, which is 3, and repeat the same process as above.
15 ÷ 3 = 5 (divisible by 3)
Step 5: Finally, divide the quotient obtained (5) by 5 because it is also a prime number.
5 ÷ 5 = 1 (divisible by 5)
Step 6: Since the quotient obtained is 1, and there are no more prime numbers to divide, we have completed the process.
The prime factorization of 120 is therefore 2 × 2 × 2 × 3 × 5, written as 2² × 3 × 5.